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arXiv · 1103.0833

A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps

Jinwon Choi·Young-Hoon Kiem
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Abstract

The Landau-Ginzburg/Calabi-Yau correspondence claims that the Gromov-Witten invariant of the quintic Calabi-Yau 3-fold should be related to the Fan-Jarvis-Ruan-Witten invariant of the associated Landau-Ginzburg model via wall crossings. In this paper, we consider the stack of quasi-maps with a cosection and introduce sequences of stability conditions which enable us to interpolate between the moduli stack for Gromov-Witten invariants and the moduli stack for Fan-Jarvis-Ruan-Witten invariants.

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Jinwon Choi, Young-Hoon Kiem. 2019-02-12. A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps. https://doi.org/10.1007/s00209-019-02249-1

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